吴微

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:英国牛津大学数学所

学位:博士

所在单位:数学科学学院

学科:计算数学

电子邮箱:wuweiw@dlut.edu.cn

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Computational properties and convergence analysis of BPNN for cyclic and almost cyclic learning with penalty

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论文类型:期刊论文

发表时间:2012-09-01

发表刊物:NEURAL NETWORKS

收录刊物:SCIE、EI、PubMed、Scopus

卷号:33

页面范围:127-135

ISSN号:0893-6080

关键字:Weight decay; Backpropagation; Cyclic; Almost cyclic; Convergence

摘要:Weight decay method as one of classical complexity regularization methods is simple and appears to work well in some applications for backpropagation neural networks (BPNN). This paper shows results for the weak and strong convergence for cyclic and almost cyclic learning BPNN with penalty term (CBP-P and ACBP-P). The convergence is guaranteed under certain relaxed conditions for activation functions, learning rate and under the assumption for the stationary set of error function. Furthermore, the boundedness of the weights in the training procedure is obtained in a simple and clear way. Numerical simulations are implemented to support our theoretical results and demonstrate that ACBP-P has better performance than CBP-P on both convergence speed and generalization ability. (C) 2012 Elsevier Ltd. All rights reserved.